A PTA method using numerical integration algorithms with artificial damping for solving nonlinear DC circuits

DOI Web Site 3 Citations 9 References Open Access
  • WU Xiao
    Graduate School of Information, Production and Systems, Waseda University
  • JIN Zhou
    Graduate School of Information, Production and Systems, Waseda University
  • NIU Dan
    IPS Research Center, Waseda University
  • INOUE Yasuaki
    Graduate School of Information, Production and Systems, Waseda University

Abstract

Pseudo-transient analysis, PTA, method is regarded as a practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. However, the convergence and efficiency of the previous studies are not satisfactory. Moreover, the numerical examples of previous studies are mainly for small-scale circuits or single type of circuits. Therefore, finding a more practical pseudo-transient analysis method for large-scale circuits and complex circuits becomes necessary and important. This paper proposes a new PTA method using numerical integration algorithms with artificial damping, and proposes a switching method in the implementation as well. The mathematical descriptions of the numerical integration algorithms are presented. The efficiency of the proposed PTA method is illustrated by solving practical nonlinear circuits.

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